Question

In: Chemistry

At a temp below room temp but with all components as gases, the decomposition of iodine...

At a temp below room temp but with all components as gases, the decomposition of iodine monochloride, ICl, to iodine and chlorine, is 1.4*10^-5

2ICl (g)----> I2 (g) + Cl2 (g)

If a sealed vessel has [ICl]=1.87 M, and no iodine or chlorine. What are the equilibrium cocentrations?

Solutions

Expert Solution

                          2ICl (g) I2 (g)   + Cl2 (g)

initial conc.(M)       1.87            0               0

change                   -2a            +a             +a

Equb conc(M)     1.87-2a           a               a

Equilibrium constant , Kc = ([I2 (g)] [Cl2 (g)]) / [ICl]2

                        1.4x10-5 = (a x a ) / (1.87-2a)2

                        1.4x10-5 = a2 / (1.87-2a)2

                    a / (1.87-2a) = 3.74x10-3

                                    a = 6.997x10-3 - 7.48x10-3 a

             8.48x10-3 a = 6.997x10-3

a = 6.94x10-3 M

So Equilibrium concentration of I2 (g) = Cl2 (g) = a = 6.94x10-3 M

    Equilibrium concentration of ICl (g) = 1.87-2a

                                                       = 1.87 -(2x6.94x10-3 )

                                                       = 1.86 M


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